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Z Score in Excel

z score in Excel is used for statistical measurement. It is also known as a standard score. The value of the Z score measures the number of standard deviations a specific number is above or below a mean.

The below formula is used to calculate the Z score:

Z = (x-µ) / σ

Where the supplied arguments are as below:

Z = It denotes the Z score value.

X = The value to be standardized.

µ = Mean of the given data set values.

σ = Standard deviation of the given data set values.

How to Calculate Z Score in Excel?

Calculation of the Z Score in Excel is very simple and easy. Let’s understand how to calculate the Z score in Excel with some examples.

You can download this Z Score Excel Template here – Z Score Excel Template

Excel Z Score – Example #1

We have given marks to some students as below:

Now for calculating Z Score, we need to find out the Mean and standard deviation of the given dataset in Excel.

Mean (or Average) calculation:

To find the average, follow the below steps:

It will give you the Average or Mean value.

Standard Deviation calculation:

To find the standard deviation, follow the below steps:

It will give you the standard deviation value.

Now we have to calculate the Z score values in Excel. For this, follow the below screenshots:

Then it will open a Function Arguments dialog box. Enter the Cell value B4 under field X.

Enter the Mean value in the second field, Mean, mentioned under Cell B15.

The result will be as given below.

Drag this formula for the rest values, and it will pop up the Z score values in Excel, as shown below:

Explanation

If we analyze the data, the highest Z score value is 2.082778, the Z score value of Nick Brown, who has achieved the highest score in the exam.

The smallest Z score value is -0.98521, the lowest Z score value of Adrian Steve, who has achieved the lowest score in the exam.

There can be positive and negative values in Z scores.

Students who have achieved scores more than the mean value get positive Z scores.

Students who have achieved scores less than the mean value get negative Z scores.

If the Z score is zero, the student’s score is the same as the mean value.

Excel Z Score – Example #2

We have given the below data values.

We need to determine the first mean and standard deviation in excel to calculate the Z score or standard score.

Let’s apply the AVERAGE formula for calculating the mean of the given dataset.

It will give you the Average or Mean value.

For calculating standard deviation, let’s apply the STDEVPA function for the given data values per the screenshot below.

It will give you the standard deviation value.

Now we will calculate Z score values in Excel. For this, apply the STANDARDIZE function for the given data values as per the below screenshot.

The result will be as given below.

Drag this formula for the rest values. The Final result is given below:

As we can see, the positive value of Z scores is higher than the mean value, and the negative value of Z scores is lower than the mean value.

Things to Remember

The Z score tells us a number of standard deviations away from the distribution’s mean or dataset.

The data values higher than the mean Z score will be positive.

Data values that are below the mean Z score will be negative.

The z-score value is probably used for statistical analysis.